We propose a power-law growth and decay model for posting data to social networking services before and after social events. We model the time series structure of deviations from the power-law growth and decay with a conditional Poisson autoregressive (AR) model. Online postings related to social events are described by five parameters in the power-law growth and decay model, each of which char...

In present paper, vibration of Nano FGM plate based on modified couple stress and First Order Shear Deformation Theories (FSDT) under moving load has been developed. Basic equations and linear strains are introduced by first order shear deformation theory and Mori Tanaka’s model is used for the plate. The module of elasticity and density are assumed to vary only through thickness of plate. Gove...

We studied the effects of non-Markovian power-law voltage dependent conductances on the generation of action potentials and spiking patterns in a Hodgkin-Huxley model. To implement slow-adapting power-law dynamics of the gating variables of the potassium, n, and sodium, m and h, conductances we used fractional derivatives of order η≤1. The fractional derivatives were used to solve the kinetic e...

We consider the shot noise process, whose associated impulse response is a decaying power-law kernel of the form . We show that this power-law Poisson model gives rise to a process that, at each time instant, is an -stable random variable, if . We show that although the process is not -stable, pairs of its samples become jointly -stable as the distance between them tends to infinity. It is know...

Abstract Models of various physical, biological, and artificial phenomena follow a power law over multiple magnitudes. This article presents modified Pareto model with an upside-down shape adjustable right tail. The moments, quantiles, failure rate, mean residual life, quantile life functions are examined. In addition, some stochastic ordering characteristics the proposed investigated. estimati...

We study a non-Hermitian AA model with long-range hopping, $1/r^a$, and different choices of quasiperiodic parameters $\beta$ to be member the metallic mean family. find that when power-law exponent is in $a<1$ regime, system displays delocalized-to-multifractal (DM) edge its eigenstate spectrum. For $a>1$ case, delocalized-to-localized (DL) exists, also called mobility edge. While striking fea...